(04.01)

which of the following best defines an output? (4 points)

an output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

an output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

an output is a special type of relation for which there is a rule that pairs each input with exactly one output.

an output is a set of ordered pairs in which no y-value repeats.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?